The measure of one interior angle of a triangle is 32°. The other interior angles are congruent. Find their measures

The measure of one interior angle of a triangle is 32 The other interior angles are congruent Find their measures class=

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Answer:

74

Step-by-step explanation:

180-32=148

148/2=74

2 congruent angles of 74° and one angle of 32° form a triangle.

What is a triangle?

A triangle is a plane figure with three straight sides and three angles.

  • Let's consider a triangle with 3 angles, a, b and c. The sum of the 3 angles is 180°.

a + b + c = 180°

  • The measure of one interior angle of a triangle is 32°. That is,

32 ° + b + c = 180°

b + c = 148°

The other interior angles are congruent. That is, b = c = x.

b + c = 148°

x + x = 2 x = 148°

x = 74°

2 congruent angles of 74° and one angle of 32° form a triangle.

Learn more about triangles here: https://brainly.com/question/2644832